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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 29 · 40 questions
TalentJR

How to think it through (30h − 5.5m): Minute hand angle (from 12) = minutes × 6. Hour hand angle = hours × 30 + minutes × 0.5. Angle between them = the difference; if it is more than 180°, take it away from 360°.

NameDateTime takenScore ___ / 40
  1. 1.How many degrees does the hour hand of a clock turn in 35 minutes? =
  2. 2.A clock shows 6:00. What time will it show 20 minutes later? (a) 6:10 (b) 6:20 (c) 6:30 (d) 7:20
  3. 3.How many degrees does the minute hand of a clock turn in 46 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 86 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 171 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:37? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 52 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 49 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 114 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 51 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 12:43? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =
  15. 15.A clock shows 1:13. What time will it show 81 minutes later? (a) 2:34 (b) 2:44 (c) 2:24 (d) 3:34
  16. 16.What is the smaller angle between the hour hand and the minute hand at 10:24? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
  19. 19.A clock shows 2:54. What time will it show 78 minutes later? (a) 5:12 (b) 4:12 (c) 4:02 (d) 4:22
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
  21. 21.A clock shows 3:19. What time will it show 133 minutes later? (a) 6:32 (b) 5:42 (c) 5:22 (d) 5:32
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  23. 23.A clock shows 9:49. What time will it show 19 minutes later? (a) 10:18 (b) 9:58 (c) 10:08 (d) 11:08
  24. 24.A clock shows 6:00. What time will it show 37 minutes later? (a) 6:37 (b) 6:27 (c) 7:37 (d) 6:47
  25. 25.How many degrees does the minute hand of a clock turn in 43 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:17? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
  28. 28.A clock shows 10:54. What time will it show 118 minutes later? (a) 12:42 (b) 1:02 (c) 1:52 (d) 12:52
  29. 29.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 24 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 2 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:27? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 22 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 82 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 38 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 9:25? (in degrees) =
  38. 38.A clock shows 2:56. What time will it show 163 minutes later? (a) 6:39 (b) 5:39 (c) 5:29 (d) 5:49
  39. 39.A clock shows 8:39. What time will it show 50 minutes later? (a) 9:39 (b) 9:29 (c) 9:19 (d) 10:29
  40. 40.A clock shows 8:08. What time will it show 116 minutes later? (a) 10:14 (b) 9:54 (c) 11:04 (d) 10:04

Answer key

  1. 17.5
  2. 6:20
  3. 276
  4. 25
  5. 51
  6. 43
  7. 85.5
  8. 143.5
  9. 26
  10. 294
  11. 57
  12. 306
  13. 123.5
  14. 35
  15. 2:34
  16. 168
  17. 76
  18. 179.5
  19. 4:12
  20. 65
  21. 5:32
  22. 116
  23. 10:08
  24. 6:37
  25. 258
  26. 123.5
  27. 2
  28. 12:52
  29. 122.5
  30. 12
  31. 12
  32. 152.5
  33. 151.5
  34. 132
  35. 41
  36. 228
  37. 132.5
  38. 5:39
  39. 9:29
  40. 10:04

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